1. Which of the following statements is true? a. A relation is a set of inputs and outputs that are related in some way. b. In a relation, each input has exactly one output. C. All relations are function. d. All of these are true statements. 2. Which of the following ordered pairs represents a function? a. {(-2, 2), (-3, 2), (-5, 2), (-2, -2)} b. {(1, 2), (2, 3). (3, 4), (4, 5)} c. {(-3, 0), (-3.1), (-3, 2), (-3, 3)} d. ((1, 5),( 2, 6), (2, 7), (1, 6)} 3. Which table of values represents a function? a. -1 -1 -1 -1 Y. 3. 4. b. 1 4 Y 6. 8 C. 1 1 Y. 6. 8 d. Y -1 1 22 24 22 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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I. Multiple Choice:
Directions: Read and answer the questions below. Write the letter of the correct
answer,
1.
Which of the following statements is true?
a. A relation is a set of inputs and outputs that are related in some way.
b. In a relation, each input has exactly one output.
C. All relations are function.
d. All of these are true statements.
2. Which of the following ordered pairs represents a function?
a. {(-2, 2). (- 3, 2), (-5, 2), (-2, -2)}
b. {(1, 2), (2, 3), (3, 4). (4, 5)}
c. {(-3, 0). (-3.1), (-3, 2), (-3, 3)}
d. {(1, 5).( 2, 6), (2, 7), (1, 6)}
3. Which table of values represents a function?
a.
-1
-1
-1
-1
Y
1
4
3
4
Y
4
C.
1
1
Y
8.
d.
1
1
1
2
2
Y
-1
-2
4. Which of the following graphs DOES NOT represent a function?
a.
b.
C.
d.
Vinicn o unesE rciaions is a function?
5.
C.
a. (-1, 6). (2, 5), (2, 3), (1, 4)}
b.
d.
00
1
4
11
13
15
17
6. A relation is shown. Consider the input 7. What output is it related to?
а. 140
b. 7
c. 197
d. 7 is not an input in this relation
Output
27
Input
83
140
9
197
11
254
7. Consider the relation represented by mapping diagram. Represent the relation as set of ordered pairs.
a. {(7, House P),(8,House Q),(5,House R),(9,House S)}
b. {(House P,7),(House Q,8),(House R, 5),(House S,9)}
c. {(House P,5).(House Q,7).(House R,8),(House s, 9)}
d. {(5, House P),(7, House Q).(8, House R),(9,House S)}
14 the ntre nif
peanin ieng in
ttaer
8. Which of the following represents a function?
se 3
w.
х.
Y.
z.
а. Y
9.This set of ordered pairs shows the years of some Winter Olympics and the host city in each year.
Represent the relation as a table.
{(1988, Calgary),(1992, Albertville),(1994, Lillehammer),(1998, Nagano),(2002, Salt Lake City),(2006,
Turin),( 2010, Vancouver)}
b. X
c. Z
d. W
Host City
Host City
Year
a.
C.
Calga
Nagano
1992
Aibertville
1994
arner
Calguty
1.9
3aLae C ty
Sat Laka C ty
2002
Turin
2008
2010
200
Year
Host City
Year
Host City
1988
Cagary
Calgary
1992
Albertvile
b.
1994
Lilethammer
d.
1994
Albertviße
1980
Nagano
hingane
2002
Sat Lake Cty
2002 Sai: Lake Cily
2006
2006
Turin
2010
20 10
ESAA OT JAadi 134213:2779 2D 12 - T 10 s
10.This table shows the cost, P Php, of the number of tickets sold, n. Identify the range.
a. {1,2,3,4,5,...}
b. (9,50,19.00,28.50,38.00,47.50,...}
c. {1,2,3,4,5,9.50,19.00, 28.50,38.00,47.50}
d. (1,9.50,2,19.00,3,28.50,4,38.00,5,47.50,...
Number of Tickets.
Cost. P
(Php)
9.50
19.00
18.50
38.00
47.50
ABC
16
b.
Transcribed Image Text:I. Multiple Choice: Directions: Read and answer the questions below. Write the letter of the correct answer, 1. Which of the following statements is true? a. A relation is a set of inputs and outputs that are related in some way. b. In a relation, each input has exactly one output. C. All relations are function. d. All of these are true statements. 2. Which of the following ordered pairs represents a function? a. {(-2, 2). (- 3, 2), (-5, 2), (-2, -2)} b. {(1, 2), (2, 3), (3, 4). (4, 5)} c. {(-3, 0). (-3.1), (-3, 2), (-3, 3)} d. {(1, 5).( 2, 6), (2, 7), (1, 6)} 3. Which table of values represents a function? a. -1 -1 -1 -1 Y 1 4 3 4 Y 4 C. 1 1 Y 8. d. 1 1 1 2 2 Y -1 -2 4. Which of the following graphs DOES NOT represent a function? a. b. C. d. Vinicn o unesE rciaions is a function? 5. C. a. (-1, 6). (2, 5), (2, 3), (1, 4)} b. d. 00 1 4 11 13 15 17 6. A relation is shown. Consider the input 7. What output is it related to? а. 140 b. 7 c. 197 d. 7 is not an input in this relation Output 27 Input 83 140 9 197 11 254 7. Consider the relation represented by mapping diagram. Represent the relation as set of ordered pairs. a. {(7, House P),(8,House Q),(5,House R),(9,House S)} b. {(House P,7),(House Q,8),(House R, 5),(House S,9)} c. {(House P,5).(House Q,7).(House R,8),(House s, 9)} d. {(5, House P),(7, House Q).(8, House R),(9,House S)} 14 the ntre nif peanin ieng in ttaer 8. Which of the following represents a function? se 3 w. х. Y. z. а. Y 9.This set of ordered pairs shows the years of some Winter Olympics and the host city in each year. Represent the relation as a table. {(1988, Calgary),(1992, Albertville),(1994, Lillehammer),(1998, Nagano),(2002, Salt Lake City),(2006, Turin),( 2010, Vancouver)} b. X c. Z d. W Host City Host City Year a. C. Calga Nagano 1992 Aibertville 1994 arner Calguty 1.9 3aLae C ty Sat Laka C ty 2002 Turin 2008 2010 200 Year Host City Year Host City 1988 Cagary Calgary 1992 Albertvile b. 1994 Lilethammer d. 1994 Albertviße 1980 Nagano hingane 2002 Sat Lake Cty 2002 Sai: Lake Cily 2006 2006 Turin 2010 20 10 ESAA OT JAadi 134213:2779 2D 12 - T 10 s 10.This table shows the cost, P Php, of the number of tickets sold, n. Identify the range. a. {1,2,3,4,5,...} b. (9,50,19.00,28.50,38.00,47.50,...} c. {1,2,3,4,5,9.50,19.00, 28.50,38.00,47.50} d. (1,9.50,2,19.00,3,28.50,4,38.00,5,47.50,... Number of Tickets. Cost. P (Php) 9.50 19.00 18.50 38.00 47.50 ABC 16 b.
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